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Co-2-plex polynomials

Author

Listed:
  • Benjamin McClosky

    (Nature Source Genetics)

  • Anthony Simms

    (University of Maryland, Baltimore County)

  • Illya V. Hicks

    (Rice University)

Abstract

This paper offers a generalization of the independence polynomial, the co-k-plex polynomial. The resulting family of polynomials carries combinatorial information on a class of independence systems defined over the vertex set of a finite graph. Specifically, we offer a recursion formula and examples of the co-2-plex polynomial on certain graphs. In addition, we characterize the class of graphs whose co-2-plex polynomial will have all real roots.

Suggested Citation

  • Benjamin McClosky & Anthony Simms & Illya V. Hicks, 2011. "Co-2-plex polynomials," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 640-650, November.
    • Handle: RePEc:spr:jcomop:v:22:y:2011:i:4:d:10.1007_s10878-010-9313-y
    DOI: 10.1007/s10878-010-9313-y
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    References listed on IDEAS

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    1. Butenko, S. & Wilhelm, W.E., 2006. "Clique-detection models in computational biochemistry and genomics," European Journal of Operational Research, Elsevier, vol. 173(1), pages 1-17, August.
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